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System of Equations of Integrated Rate Laws and Competing

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Consider two reaction vessels, one containing A and the other containing B. At t = 0, [A]o = [B]o. A and B decompose by first order kinetics with rate constants of kA = 4.50 × 10^-4 s-1 and kB = 3.70 × 10^-3 s-1, respectively. Calculate the time that must pass to reach the condition such that [A] = (1.97)[B].

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This solution solves a system of equations of integrated rate laws to calculate the time required to reach a given condition.

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